Classes de Wadge potentielles et th\'eor\`emes d'uniformisation partielle
Logic
2007-10-02 v1 General Topology
Abstract
We want to give a construction as simple as possible of a Borel subset of a product of two Polish spaces. This introduces the notion of potential Wadge class. Among other things, we study the non-potentially closed sets, by proving Hurewicz-like results. This leads to partial uniformization theorems, on big sets, in the sense of cardinality or Baire category.
Cite
@article{arxiv.0710.0133,
title = {Classes de Wadge potentielles et th\'eor\`emes d'uniformisation partielle},
author = {Dominique Lecomte},
journal= {arXiv preprint arXiv:0710.0133},
year = {2007}
}